From time t = 0 to t = 5 an object's speed is given by the function $s ( t ) = t e ^ { 4 t }$ . Compute the distance travelled by the object during this time interval. Round your answer to two decimals.
A) 576,133,770.94
B) 576,133,679.87
C) 576,133,669.61
D) 576,133,665.74

Question

Quizplus · Accepted Answer

The distance traveled is the integral of the speed function over the given time interval. The integral of $s(t) = t e^{4t}$ from 0 to 5 is calculated, resulting in approximately 576,133,669.61.

From Time T = 0 to T = 5 an Object's